Home / 1,645.20-2,270.28-946.56

Finding the Fourth Proportional to 1,645.20, 2,270.28 and 946.56

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Solution

The fourth proportional to 1,645.20, 2,270.28 and 946.56 is: 1,306.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.20 : 2,270.28 = 946.56 : x
  2. Step 2: Convert to fraction form
    1,645.20/2,270.28 = 946.56/x
  3. Step 3: Cross multiply
    1,645.20x = 2,270.28 × 946.56
  4. Step 4: Simplify right side
    1,645.20x = 2,148,956.24
  5. Step 5: Solve for x
    x = 2,148,956.24/1,645.20
  6. Step 6: Final answer
    x = 1,306.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.